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Finding the Third Proportional to 127,332 and 193,766

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Solution

The third proportional to 127,332 and 193,766 is: 294,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,332 : 193,766 = 193,766 : x
  2. Step 2: Convert to fraction form
    127,332/193,766 = 193,766/x
  3. Step 3: Cross multiply
    127,332x = 193,766 × 193,766
  4. Step 4: Simplify right side
    127,332x = 37,545,262,756
  5. Step 5: Solve for x
    x = 37,545,262,756/127,332
  6. Step 6: Final answer
    x = 294,861.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.